Unfortunately, it seems TH-cam has not published 4k or 8k versions of this video. It was uploaded in 8k. Maybe it is too long. If you get 4k or 8k, then please let me know. Luckily it still looks pretty good at 1080p If you are looking for 8k content, check out the rest of our 8k playlist.
Thanks a BUNCH, Maths Town. This one is def one of the best videos, such juicy colors, much wow. Would be great if you could reupload it in 8k. (inb4 my 43" 4k is my ceiling) Also 1080 video does show compression artifacts when watched in 4k.
Glorious in 4K. I have a 65 inch screen 4K screen and the level of detail is still amazing. I'm not sure my eyes could detect any difference if it were an 8K screen, but then, I've never seen one, so perhaps I'm wrong.
Having watched many of the fractal images this one is the one I watch with my cat the most and the music is so soothing...….. I frequently watch it on a 10 foot screen with my projector when I want to fall asleep for an hour or two.
I'm more interested in how big a carpet would be to contain the final frame as a square inch and then drawn out to contain the set, heh, might be planet sized.
@@PattPlays : I'll spare you the math, but in most Mandelbrot zooms, even if the final frame was just the size of one atom, the full carpet would be many, many, MANY times larger than the entire visible universe. Part of what's cool about Mandelbrot zooms is that they go _way_ beyond the realm of the physical. Planck Length, the smallest possible distance in physics, is only 10^34 or so. M-zooms easy go to 10^500 or much more.
This is the best fractal that I have ever seen!!! Well done! The colors are awesome, with plenty of variety. The zoom is nice and smooth. If I bring my face close to the center of the screen, there is definitely a 3D illusion effect! Amazing!!
If I focus just behind the image, sometimes I can sense a certain 3D effect. I know it's not there, but still, weird. Also, I adore the colour palette.
You experience the same effect as in *stereoscopic* images. Many areas in a mandelbrot has some symmetry, and if you stare at that as stereoscopic views, then you can get a 3D 'feel' from the images You can do the same with your pc.keyboard, or to identical coins -btw
you're a genius, this is even more beautiful than all the other beautifuls. I googled Benoit Mandelbrot, understood nothing and a very little something, still cannot imagine how you do it and I'm in awe, so I just thank you again. (What I do is mute the music and listen to neobeats, solfeggio frequencies, 432 hz, 963 hz etc.)
In fact every zoomed render should at least be 'similar' if not identical, because the maths is identical, but its the choice of adjacent colors that creates the variations -right? This one has a feel of almost liquid metal lakes where crystal-depositaries floats on the surface. The typical bended columns are obscured, because all the colors in those columns are almost identical. Stunning effect!
Marvelous!! Please make a device that can be used inside and outside of my home that will project this onto a wall or tree or whatever. I really want this, both with and without the music. Please! 💞👏🥰💞
Also, does anyone know why you get the optical illusion of things moving away from you when you look away from these? I've noticed the effect varies in intensity depending a little on the palette.
Hello, I have question, how the heck can you render at 4k : Each image make around 97MB on my computer I not even sure that 2 TB is enough to store all images :/ !
Actually, this video was rendered at 8k. So each keyframe file (.kfb) is 379mb. I render the .kfb and a .jpg (98 quality). The total size for this video is 522GB. Don't forget that you are only rendering key-frames not every frame, so there is about 1 file for each 1.2 seconds of footage at this speed. Plus, The final video output is about 19GB when rendered.
Wow that's much. Ok thank you, I tried rendering it at 4k but my computer just froze... I have I7 4790K I think it go too high in temperature.. :/ (75 - 80°)
Yes, you need good cooling to run the CPU at 100%. I usually hit Ctr-Alt-Del and drop the priority of KF to low, it seems happier, and I can use the computer for other things. If you are finishing on a mini-Mandelbrot, also remember the first few frames you render (the last frames of video) are very slow. Those first 5% of frames will probably take as long as the rest of the video. Try rendering the 11 Dimensions video for your first big test. (The .kfr file is in the KF sample gallery). It's an amazing video, and you should be able to render it on your CPU in a day or 2.
@@MathsTown I suppose the last part is the one that takes the longest because to get over 2 it uses almost all of the iterations you give it (which must very very many)
I have no idea what I’m looking at or how math makes these pictures. I would ask if instead of zooming in dead centre all the time what we see if you went off to one of the sides and zoomed in. It’s mind boggling but very pretty
In the first half i do venture off centre a number of times. It does cause a variation in the features you find at a deeper level. The path chosen is actaully an attempt to find some interesting features.
The idea is kind of simple: 1. Take a point from a 2D plane, representing a complex number 2. Square this number 3. Add the original number to it 4. Square the new number 5. Repeat 3 and 4 until it becomes clear that it will go towards infinity, if it doesn't after a set amount of loops (iterations), stop anyways 6. Give the point a color based on how many loops were needed, if it hit the limit color it black (see beginning and end)
I discovered you a couple of years ago, and I am blown away by theses Mandelbrot zooms. They simply become more and more incredible as you are able to add breadth, depth, resolution, and effects. When I watch for extended periods, I perceive a sort of understanding growing. It's about being and nothingness, infinity and eternity, the nature of God - or perhaps the nature of his absence. Perhaps I'm the only one - I have been referred to as eccentric - but I wonder... Have you invited different sorts of people to watch and comment on these? Philosophers, theologians, monks... the autistic... synaesthesia perceivers? Criminals? Animals...?
There is a lot less meaning to this than one would think, there is nothing philosophical to be gained. Its simply a math algorithm resulting in neat pictures because complex numbers are weird. Its really just numbers...
@@rednidedni3875 Well yeah. A simple formula. But still, by comparison, it makes you rethink all you have known and perceived, gives another perspective to the surrounding complexity, a layer of understanding maybe. So more "meaning" can be constructed.
@@AlexanderBukh All this can reasonably give someone is Pretty pictures and Maybe a tad more understanding about complex Numbers. Any Further "meaning" pulled out of this wouldnt be There for a reason, people would just come up with it out of Nothing because they saw some Pretty pictures and dont understand math that well.
@@rednidedni3875 I have to disagree with you there. In the natural world, it tends to be only a few, special sorts of systems that can withstand infinite turbulence without being reduced to white noise. Order and chaos, thought to be opposing forces by some, here work together. Life is also a creation of infinite complexity, and viewing it, some jump to the claim that it must therefore have a creator, yet here, there is infinite complexity with no creator. It all either exists at all times or does not exist at all, and what does that distinction mean? Can something both exist and not exist? Would the equation still exist if the universe did not?
I notice that toward the end of most zooms, the image becomes completely concentric and more static compared to earlier states. What is the mathematical underpinning of this?
I don't think the exact reasons are known. Try watching this video, it will help you understand how the symmetry develops: th-cam.com/video/CdSXlzqN7Og/w-d-xo.html
Strange. Stats for Nerds says no dropped frames when playing it in 8K60FPS, but it does not look as smooth on my monitor as 1080P60FPS. Even 4K60FPS seems a little bit stuttering. Why? Does 8K60FPS look smooth on other people's computers?
How this doesn't have at least 10 million views is beyond me. But so is the Mandelbrot set! :) Superb work with the color palette! Is it part of the set visualization itself or is it a separate function you used for coloring?
These videos are almost like when you are first coming up on psilocybin with your eyes closed. Similar emotional impact with the music, which is interesting.
We're zooming in on the mandelbrot in the end. This works by taking a complex number, and repeadetly letting it run through a simple algorithm. If it becomes clear that the algorithm will go to infinity with that number, it gives the dot corresponding to that complex number a color corresponding to how many runs it needed. Eventually, the number may hit a limit of runs, where it is decided that it'd need infinite runs. If thats the case, its colored black (See beginning and end)
It is made with "Kalles Fraktaler" which is free software. It is mathematically generated. To understand how it is made do some research on "The Mandelbrot Set".
I would like to be able to imagine that this is what 'DEATH' is really like - a never-ending dream of an infinite number of dreams - that you live as realistically as if you were still alive !!!
Ok ,,now according to what I've found out research ,, Is that this ENTIRE collaboration can be drawn with ONE line ,, In wich the outside stays outside. And inside stays inside of its borders ,,NO deviation whatsoever.
It could have been a serious question, it's hard to tell from a comment. Oh well, now if some reader of the comments goes "hmm, why _does_ that happen?" he'll have the answer :P
everything is very similar to materialization in the space of a zero determinant, 1/0 = (∞) × 0, where 0-1 = -1 as a zero determinant of zero, like any action with zero, since zero is not a number, and infinity is not a number either , but in any action with zero and infinity is the determinant of it, both the zero determinant and the determinant of the same process (+ ...-) .... x = x = 0 × (∞) ... where (∞) is the process multiplication and zero is a division process in this case ... where 0 (zero) = (/) is a division process and (∞) =) × (this is a multiplication process
Nothing's happening. Where's the zoom? Was it a good idea to prevent more possible views by posting a video that can't be rendered? Maybe but I can't even get passed the first frame. Not watching if nothing's happening
When i tell You that This is the One, Im saying THIS IS THE One to change it all. Everything; from the C of the P G to the Constriction or Coagulation of the Blood Vessels. From Chaos and (Dis)"Order", to Balance and moderation. Thank You for putting this together. Shalom shalom🗽🎯👁🫂🛐☮☮✝️🗽🌪💫🕊🦅🌟🎯🧠😌🫀🫁🗣🌪💫⚡☄🔥💧🌊❄🌌✝️☮☮🛐🫂♾🆙️
![Eye of the World - Mandelbrot Fractal Zoom [Depth 4e1028]](http://i.ytimg.com/vi/ZiuZeBwamJ8/mqdefault.jpg)
Unfortunately, it seems TH-cam has not published 4k or 8k versions of this video. It was uploaded in 8k. Maybe it is too long. If you get 4k or 8k, then please let me know. Luckily it still looks pretty good at 1080p If you are looking for 8k content, check out the rest of our 8k playlist.
Thanks a BUNCH, Maths Town. This one is def one of the best videos, such juicy colors, much wow. Would be great if you could reupload it in 8k. (inb4 my 43" 4k is my ceiling) Also 1080 video does show compression artifacts when watched in 4k.
Yes it looks great at 1080P. You did great
8k is available
No it it did it goes up to 8K 60fps
Glorious in 4K. I have a 65 inch screen 4K screen and the level of detail is still amazing. I'm not sure my eyes could detect any difference if it were an 8K screen, but then, I've never seen one, so perhaps I'm wrong.
The universe just got a whole lot bigger.
or smaller....
Mustang Guy small becomes all
Having watched many of the fractal images this one is the one I watch with my cat the most and the music is so soothing...….. I frequently watch it on a 10 foot screen with my projector when I want to fall asleep for an hour or two.
Parts of this one would make an awesome carpet!
Each of them would, I fear
Yeah, a real magic flying carpet! Complete with fantastic music!
Heh don't forget to take some screenshots then :p
I'm more interested in how big a carpet would be to contain the final frame as a square inch and then drawn out to contain the set, heh, might be planet sized.
@@PattPlays : I'll spare you the math, but in most Mandelbrot zooms, even if the final frame was just the size of one atom, the full carpet would be many, many, MANY times larger than the entire visible universe.
Part of what's cool about Mandelbrot zooms is that they go _way_ beyond the realm of the physical. Planck Length, the smallest possible distance in physics, is only 10^34 or so. M-zooms easy go to 10^500 or much more.
I feel like my mind just freaking melts when I see this.
This is the best fractal that I have ever seen!!! Well done! The colors are awesome, with plenty of variety. The zoom is nice and smooth. If I bring my face close to the center of the screen, there is definitely a 3D illusion effect! Amazing!!
I like how it is slow so you can really observe the design!
I mean all Mandlebrot zooms are beautiful, but the shapes and especially the palette really make this one something special!
The path my particles follow ... Simply breathtaking! Thank you!
If I focus just behind the image, sometimes I can sense a certain 3D effect. I know it's not there, but still, weird.
Also, I adore the colour palette.
You experience the same effect as in *stereoscopic* images. Many areas in a mandelbrot has some symmetry, and if you stare at that as stereoscopic views, then you can get a 3D 'feel' from the images
You can do the same with your pc.keyboard, or to identical coins -btw
Imagine viewing this zoom at an actual 8k 75 inch OLED screen. Should be mindblowing
you're a genius, this is even more beautiful than all the other beautifuls. I googled Benoit Mandelbrot, understood nothing and a very little something, still cannot imagine how you do it and I'm in awe, so I just thank you again. (What I do is mute the music and listen to neobeats, solfeggio frequencies, 432 hz, 963 hz etc.)
The epic music fit very well with the video !
I could watch these forever!
This one is very beautiful 💙
Please keep these coming. Amazing
Thanks!
Thank you!!
訳文
Wonderful.
This is the most beautiful fractal video I have ever seen.
I really love it anytime it goes towards 'not what would previously seem central'
Even if resolution didn't come out as intended, it's still a fantastic view!
THX für die super Arbeit 👍👍👍💪❤️😍😘🎵🎶🔊🎼👂 und echt voll Cool 👍👍👍
This is a good depiction of eternity and the beauty of it. Give praise to God ❤
One of your best!
I wander in wonder where my wonder will wander..
My other favorite Mandel!
That's where I got my name.
Almond boi
Maths Town 💖
BEAUTIFUL!!!!!
Beautiful
Masterpieces are not accidental. This is the handy work of GOD
In fact every zoomed render should at least be 'similar' if not identical, because the maths is identical, but its the choice of adjacent colors that creates the variations -right?
This one has a feel of almost liquid metal lakes where crystal-depositaries floats on the surface. The typical bended columns are obscured, because all the colors in those columns are almost identical. Stunning effect!
👁 Great colors 👁
Beautiful!
So beautiful!
Thanks. Someday I want to make videos that are evaluated by many people like this.
Very beautiful colours :)
Just imagine that with palette cycling
Marvelous!! Please make a device that can be used inside and outside of my home that will project this onto a wall or tree or whatever. I really want this, both with and without the music. Please!
💞👏🥰💞
Brilliant!
When you zoom so hard that you find the meaning of life.
Wow this is psychedelic!
4:03 Part 1
cool! Thank you.
Also, does anyone know why you get the optical illusion of things moving away from you when you look away from these? I've noticed the effect varies in intensity depending a little on the palette.
Hello, I have question, how the heck can you render at 4k : Each image make around 97MB on my computer I not even sure that 2 TB is enough to store all images :/ !
Actually, this video was rendered at 8k. So each keyframe file (.kfb) is 379mb.
I render the .kfb and a .jpg (98 quality). The total size for this video is 522GB. Don't forget that you are only rendering key-frames not every frame, so there is about 1 file for each 1.2 seconds of footage at this speed. Plus, The final video output is about 19GB when rendered.
Wow that's much. Ok thank you, I tried rendering it at 4k but my computer just froze... I have I7 4790K I think it go too high in temperature.. :/ (75 - 80°)
Yes, you need good cooling to run the CPU at 100%. I usually hit Ctr-Alt-Del and drop the priority of KF to low, it seems happier, and I can use the computer for other things. If you are finishing on a mini-Mandelbrot, also remember the first few frames you render (the last frames of video) are very slow. Those first 5% of frames will probably take as long as the rest of the video.
Try rendering the 11 Dimensions video for your first big test. (The .kfr file is in the KF sample gallery). It's an amazing video, and you should be able to render it on your CPU in a day or 2.
Okay thank you, I will try at 2k instead of 4k because Im scared that my computer freeze again and I lost the render.
@@MathsTown I suppose the last part is the one that takes the longest because to get over 2 it uses almost all of the iterations you give it (which must very very many)
Omg this music i feel like im watching a movie
I have no idea what I’m looking at or how math makes these pictures. I would ask if instead of zooming in dead centre all the time what we see if you went off to one of the sides and zoomed in. It’s mind boggling but very pretty
In the first half i do venture off centre a number of times. It does cause a variation in the features you find at a deeper level. The path chosen is actaully an attempt to find some interesting features.
The idea is kind of simple:
1. Take a point from a 2D plane, representing a complex number
2. Square this number
3. Add the original number to it
4. Square the new number
5. Repeat 3 and 4 until it becomes clear that it will go towards infinity, if it doesn't after a set amount of loops (iterations), stop anyways
6. Give the point a color based on how many loops were needed, if it hit the limit color it black (see beginning and end)
imagine beeing on LSD and then watching this with a VR Glass. Yeah.
TH-cam VR exists. It is cool even without LSD.
@@EmilParkour I know, and I know
My, but it is a long way out, up down and sideways too! What a relief...
I discovered you a couple of years ago, and I am blown away by theses Mandelbrot zooms. They simply become more and more incredible as you are able to add breadth, depth, resolution, and effects. When I watch for extended periods, I perceive a sort of understanding growing. It's about being and nothingness, infinity and eternity, the nature of God - or perhaps the nature of his absence. Perhaps I'm the only one - I have been referred to as eccentric - but I wonder... Have you invited different sorts of people to watch and comment on these? Philosophers, theologians, monks... the autistic... synaesthesia perceivers? Criminals? Animals...?
There is a lot less meaning to this than one would think, there is nothing philosophical to be gained. Its simply a math algorithm resulting in neat pictures because complex numbers are weird. Its really just numbers...
@@rednidedni3875 Well yeah. A simple formula. But still, by comparison, it makes you rethink all you have known and perceived, gives another perspective to the surrounding complexity, a layer of understanding maybe. So more "meaning" can be constructed.
@@AlexanderBukh All this can reasonably give someone is Pretty pictures and Maybe a tad more understanding about complex Numbers. Any Further "meaning" pulled out of this wouldnt be There for a reason, people would just come up with it out of Nothing because they saw some Pretty pictures and dont understand math that well.
@@rednidedni3875 I have to disagree with you there. In the natural world, it tends to be only a few, special sorts of systems that can withstand infinite turbulence without being reduced to white noise. Order and chaos, thought to be opposing forces by some, here work together. Life is also a creation of infinite complexity, and viewing it, some jump to the claim that it must therefore have a creator, yet here, there is infinite complexity with no creator. It all either exists at all times or does not exist at all, and what does that distinction mean? Can something both exist and not exist? Would the equation still exist if the universe did not?
Please could you tell me what the music is?
It is all by Johan Johansson (aka Dragon Tamer). All licensed from Epidemic Sound.
Maths Town Thanks! :)
I notice that toward the end of most zooms, the image becomes completely concentric and more static compared to earlier states. What is the mathematical underpinning of this?
I don't think the exact reasons are known. Try watching this video, it will help you understand how the symmetry develops: th-cam.com/video/CdSXlzqN7Og/w-d-xo.html
I believe the Mandelbrot set proves that the universe is a projected hologram. Prove me wrong. 😂
I think I like this. it is ineffably,
something. This math makes me want to cry....but for a different reason than normal.
9:36 found the alien figure!
Rowyn Gaming official is it alien 👽 fighter?
Chanda Jhan yeah typo so what?
This is what me and the bois found in area 51
Good
the Mandelbrot set is generated in 2 space. Someone should generate one in 3 space so that we can fly around 3d objects.
There are videos of Mandelbox zooms. And Mandelspheres.
@@o_o-037
Thank you. Got it. Mandelbox and Mandelspheres.
Atrhur Robey dont forget the bandelbulb
Stop mutilating the name of the guy who discovered this stuff. It's just not fair.
@@Kalumbatsch we got a mandelboi over here
Strange. Stats for Nerds says no dropped frames when playing it in 8K60FPS, but it does not look as smooth on my monitor as 1080P60FPS. Even 4K60FPS seems a little bit stuttering. Why? Does 8K60FPS look smooth on other people's computers?
@6.15 to 10 mins , amazing
@13 mins to 15 mins, really lovely
Typing is fun, where are you going, come back buttons!
How this doesn't have at least 10 million views is beyond me. But so is the Mandelbrot set! :)
Superb work with the color palette! Is it part of the set visualization itself or is it a separate function you used for coloring?
These videos are almost like when you are first coming up on psilocybin with your eyes closed. Similar emotional impact with the music, which is interesting.
Fascinating, really and truly awesome.
A bit like the behind-the-eyes patterns on liquid as well, or so my friend says.
Can i have a list of the songs? There so good
How many iterations did it take and how deep is the zoom?
What software do you use in these videos?
This video is Kalles Fraktaler.
This is how the universe was made. Similar fashion.
Part 4
I swear I'm not high
Now you are.
And I like it here!
Part 3
Where are we zooming in on? And how is it colorized?
We're zooming in on the mandelbrot in the end.
This works by taking a complex number, and repeadetly letting it run through a simple algorithm. If it becomes clear that the algorithm will go to infinity with that number, it gives the dot corresponding to that complex number a color corresponding to how many runs it needed.
Eventually, the number may hit a limit of runs, where it is decided that it'd need infinite runs. If thats the case, its colored black (See beginning and end)
Part 5
What graphics library did you use? or is this one static image?
source code available somewhere?
It is made with "Kalles Fraktaler" which is free software. It is mathematically generated. To understand how it is made do some research on "The Mandelbrot Set".
Part 2
I would like to be able to imagine that this is what 'DEATH' is really like - a never-ending dream of an infinite number of dreams - that you live as realistically as if you were still alive !!!
Name song ?
Ok ,,now according to what I've found out research ,,
Is that this ENTIRE collaboration can be drawn with ONE line ,,
In wich the outside stays outside.
And inside stays inside of its borders ,,NO deviation whatsoever.
Was war with Micky den ser eine u in
Why is my screen so wibbly wobbly all of a sudden?
en.wikipedia.org/wiki/Motion_aftereffect
@@MatthijsvanDuin
Dude, I know why it happens. I was just making a joke. 😂
It could have been a serious question, it's hard to tell from a comment. Oh well, now if some reader of the comments goes "hmm, why _does_ that happen?" he'll have the answer :P
My mom made a nice cake for me on Monday of this and then my bros were saying that it’s a butt 😂
everything is very similar to materialization in the space of a zero determinant, 1/0 = (∞) × 0, where 0-1 = -1 as a zero determinant of zero, like any action with zero, since zero is not a number, and infinity is not a number either , but in any action with zero and infinity is the determinant of it, both the zero determinant and the determinant of the same process (+ ...-) .... x = x = 0 × (∞) ... where (∞) is the process multiplication and zero is a division process in this case ... where 0 (zero) = (/) is a division process and (∞) =) × (this is a multiplication process
calculated masterpiece you liar!!11 xD
I feel like Ant Man.
Nothing's happening. Where's the zoom? Was it a good idea to prevent more possible views by posting a video that can't be rendered? Maybe but I can't even get passed the first frame. Not watching if nothing's happening
Wow
Magic carpet ride
Da best
Visual meditation
Imean Part 6
Imean Part 5
what kinda acid trip made this???? i mean it's really beautiful but how??????
Commandor_Eleanor math. x^2 + c in the complex plane. Tutorials exist for it
sadly it only plays in 1080p
you lack the youtube reacharound achievement
Sadly TH-cam haven't propagated the 4k and 8k versions yet. I'm really not sure why, it was uploaded in full 8k. It sometimes takes a while.
Infinite intelligence
stare at the center of it and everything will start moving
3000 Iliterations
81000 Iliterations
And how the fuck do you accidentally zoom on a Mandelbrot for 33 minutes?
When i tell You that This is the One, Im saying THIS IS THE One to change it all. Everything; from the C of the P G to the Constriction or Coagulation of the Blood Vessels. From Chaos and (Dis)"Order", to Balance and moderation. Thank You for putting this together. Shalom shalom🗽🎯👁🫂🛐☮☮✝️🗽🌪💫🕊🦅🌟🎯🧠😌🫀🫁🗣🌪💫⚡☄🔥💧🌊❄🌌✝️☮☮🛐🫂♾🆙️
👍👍👍👍👍😍😍😍
27000 Iliterations
Watch this with the theme from _Interstellar_ in the background, I dare you.
243000 Iliterations
Nothing accidental about that.
Your videos are amazing...
great work..
but your 'Hollywood' music choices are ridiculous.
Look into synthwave or ambient genres.
Mandel BRUH